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The sides of a triangle are x cm, (x + 6) cm and 20 cm… | StemPy Lab
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The sides of a triangle are x cm, (x + 6) cm and 20 cm, where x is a whole number. What is the smallest value of x for which the triangle exists?
Mathematics
Hard
High School (9–10)
General
Geometry › Triangles
Board Exam
SAT
Created by
StemPy Lab
The sides of a triangle are
x
cm
x\ \text{cm}
x
cm
,
(
x
+
6
)
cm
(x + 6)\ \text{cm}
(
x
+
6
)
cm
and
20
cm
20\ \text{cm}
20
cm
, where
x
x
x
is a whole number. What is the smallest value of
x
x
x
for which the triangle exists?
6
6
6
7
7
7
8
8
8
14
14
14
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On the side AB of triangle ABC a point D is chosen with AD : DB = 1 : 3. A point E on AC has DE ∥ BC. A point F on AB has EF ∥ CD. If AB = 16 cm, how long is AF? →
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